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Finding the Fourth Proportional to 9,536.68, 14,304.30 and 2,611

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Solution

The fourth proportional to 9,536.68, 14,304.30 and 2,611 is: 3,916.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.68 : 14,304.30 = 2,611 : x
  2. Step 2: Convert to fraction form
    9,536.68/14,304.30 = 2,611/x
  3. Step 3: Cross multiply
    9,536.68x = 14,304.30 × 2,611
  4. Step 4: Simplify right side
    9,536.68x = 37,348,527.30
  5. Step 5: Solve for x
    x = 37,348,527.30/9,536.68
  6. Step 6: Final answer
    x = 3,916.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.